Abstract:
The paper is concerned with the following types of differential pursuit – evasion games: a differential with inequality-like constraints on the players' controls and differential with integral payoffs with fixed and non-fixed times of game stoppage. The pursuer strategy is developed whereby an allowance is made for incomplete data on the control capabilities of the opponent and the possible changes in the nature of the game (from antagonistic to cooperative or stochastic games). In the strategy development the optimal pursuer's strategies are interpolated with optimal counter-action, lack of countraction, and optimal cooperation of the other player. Numerical examples are provided.